8.
Which of the following triplets are Pythagorean?
(3,4,5), (6, 7, 8), (10, 24, 26), (2, 3, 4)
[Hint : Let the smallest even number be 2m and find m from it. Then, find (2m, m2-1,
m2 + 1). If you get the triplet, it is Pythagorean.]
Another way of finding a Pythagorean triplet is:
If'a'
, 'b'and'c'are three natural numbers with 'a' as the smallest of them, then,
(i) If 'a' is odd, sum of other two numbers is aand their difference is 1.
a?
(ii) If 'a' is even, sum of other two numbers is a²/2 and their difference is 2.
Answers
Answered by
1
Answer:
(3,4,5) are Pythagorean triplet.
Hope it helps you....
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